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Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.
The remainder is less than the divisor because if the remainder was greater than the divisor, you have the wrong quotient. In other words, you should increase your quotient until your remainder is less than your divisor!
Increase the whole number by 1, and subtract the value of the remainder from the divisor. For example - if you had the total... 99 & 42/29.. you would rewrite it as 100 & 13/29
To check the answer of a division problem, you can multiply the quotient (the result of the division) by the divisor (the number you divided by) and add the remainder (if any) to the product. The result should equal the dividend (the number you divided into). This process ensures that the division was done correctly and that the answer is accurate.
Multiply the answer (quotient) by the divisor. You should get the dividend.